A triple product identity for the three-parameter cubic theta function

被引：0
|
作者：
Bhargava, S [1 ]
Anitha, N [1 ]
机构：
[1] Univ Mysore, Dept Studies Math, Mysore 570006, Karnataka, India
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2005年 / 36卷 / 09期
关键词：
theta functions; cubic theta functions; elliptic functions; q-series;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish in a simple self contained manner a triple product identity for the cubic theta function a(q,zeta z)= (m=-infinity)Sigma(infinity) (n=-infinity)Sigma(infinity) (qm2+mn+n2 zeta n+mzn-m) We also determine on our way a two-parameter family of zeros of a (q, zeta z).
引用
收藏
页码：471 / 477
页数：7
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